6319744816 has 240 divisors, whose sum is σ = 16254515200. Its totient is φ = 2375049600.

The previous prime is 6319744813. The next prime is 6319744819. The reversal of 6319744816 is 6184479136.

It is an interprime number because it is at equal distance from previous prime (6319744813) and next prime (6319744819).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 6319744816.

It is not an unprimeable number, because it can be changed into a prime (6319744813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20585335 + ... + 20585641.

Almost surely, 2^6319744816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6319744816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127257600).

6319744816 is an abundant number, since it is smaller than the sum of its proper divisors (9934770384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6319744816 is a wasteful number, since it uses less digits than its factorization.

6319744816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 358 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 6319744816 is about 79496.8226786455. The cubic root of 6319744816 is about 1848.8422087055.

The spelling of 6319744816 in words is "six billion, three hundred nineteen million, seven hundred forty-four thousand, eight hundred sixteen".